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Data assimilation has been applied to coastal hydrodynamic models to better estimate system states or parameters by incorporating observed data into the model. Kalman Filter (KF) is one of the most studied data assimilation methods whose…

Atmospheric and Oceanic Physics · Physics 2016-07-05 Milad Hooshyar , Stephen C. Medeiros , Dingbao Wang , Scott C. Hagen

Extended Kalman Filtering (EKF) can be used to propagate and quantify input uncertainty through a Deep Neural Network (DNN) assuming mild hypotheses on the input distribution. This methodology yields results comparable to existing methods…

Machine Learning · Computer Science 2018-09-18 Jessica S. Titensky , Hayden Jananthan , Jeremy Kepner

In this paper, we present a UKF-PF based hybrid nonlinear filter for space object tracking. Estimating the state and its associated uncertainty, also known as filtering is paramount to the tracking process. The periodicity of the Keplerian…

Dynamical Systems · Mathematics 2014-09-30 Dilshad Raihan A. V. , Suman Chakravorty

In this paper, we propose an Invariant Extended Kalman Filter (IEKF) based Visual-Inertial Odometry (VIO) using multiple features in man-made environments. Conventional EKF-based VIO usually suffers from system inconsistency and angular…

Robotics · Computer Science 2023-11-09 Tong Hua , Tao Li , Liang Pang , Guoqing Liu , Wencheng Xuanyuan , Chang Shu , Ling Pei

The proof of convergence of the standard ensemble Kalman filter (EnKF) from Legland etal. (2011) is extended to non-Gaussian state space models. A density-based deterministic approximation of the mean-field limit EnKF (DMFEnKF) is proposed,…

Probability · Mathematics 2016-06-30 Kody J. H. Law , Hamidou Tembine , Raul Tempone

Compared with linear time invariant systems, linear periodic system can describe the periodic processes arising from nature and engineering more precisely. However, the time-varying system parameters increase the difficulty of the research…

Signal Processing · Electrical Eng. & Systems 2023-03-16 Jiachen Qian , Zhisheng Duan , Peihu Duan , Zhongkui Li

The ensemble Kalman filter (EnKF) is a Monte Carlo approximation of the Kalman filter for high dimensional linear Gaussian state space models. EnKF methods have also been developed for parameter inference of static Bayesian models with a…

This paper tackles the data-driven approximation of unknown dynamical systems using Koopman-operator methods. Given a dictionary of functions, these methods approximate the projection of the action of the operator on the finite-dimensional…

Systems and Control · Electrical Eng. & Systems 2023-02-28 Masih Haseli , Jorge Cortés

Recent years have witnessed a growing interest in tracking algorithms that augment Kalman Filters (KFs) with Deep Neural Networks (DNNs). By transforming KFs into trainable deep learning models, one can learn from data to reliably track a…

Signal Processing · Electrical Eng. & Systems 2025-06-19 Yehonatan Dahan , Guy Revach , Jindrich Dunik , Nir Shlezinger

This paper introduces a novel state estimation framework for robots using differentiable ensemble Kalman filters (DEnKF). DEnKF is a reformulation of the traditional ensemble Kalman filter that employs stochastic neural networks to model…

Robotics · Computer Science 2023-08-22 Xiao Liu , Geoffrey Clark , Joseph Campbell , Yifan Zhou , Heni Ben Amor

Although data assimilation originates from control theory, the relationship between modern data assimilation methods in geoscience and model predictive control has not been extensively explored. In the present paper, I discuss that the…

Geophysics · Physics 2024-10-21 Yohei Sawada

The main goal of this project is that the basic EKF-based SLAM operation can be implemented sufficiently for estimating the state of the UGV that is operated in this real environment involving dynamic objects. Several problems in practical…

Robotics · Computer Science 2019-05-17 Roni Permana Saputra

This paper presents the implementation of a perceptual system for a mobile robot. The system is designed and installed with modern sensors and multi-point communication channels. The goal is to equip the robot with a high level of…

Robotics · Computer Science 2017-01-05 T. T. Hoang , P. M. Duong , N. T. T. Van , D. A. Viet , T. Q. Vinh

Autonomous proximity operations, such as active debris removal and on-orbit servicing, require high-fidelity relative navigation solutions that remain robust in the presence of parametric uncertainty. Standard estimation frameworks…

Robotics · Computer Science 2026-03-31 Batu Candan , Simone Servadio

Extended dynamic mode decomposition (EDMD) is a powerful tool to construct linear predictors of nonlinear dynamical systems by approximating the action of the Koopman operator on a subspace spanned by finitely many observable functions.…

Dynamical Systems · Mathematics 2025-11-11 Roland Schurig , Pieter van Goor , Karl Worthmann , Rolf Findeisen

The paper presents a new Kalman filter (KF) implementation useful in applications where the accuracy of numerical solution of the associated Riccati equation might be crucially reduced by influence of roundoff errors. Since the appearance…

Optimization and Control · Mathematics 2017-09-22 Maria V. Kulikova , Julia V. Tsyganova

This work introduces a new, distributed implementation of the Ensemble Kalman Filter (EnKF) that allows for non-sequential assimilation of large datasets in high-dimensional problems. The traditional EnKF algorithm is computationally…

Machine Learning · Statistics 2023-11-23 Cédric Travelletti , Jörg Franke , David Ginsbourger , Stefan Brönnimann

We propose a new method to obtain landmark-matching transformations between n-dimensional Euclidean spaces with large deformations. Given a set of feature correspondences, our algorithm searches for an optimal folding-free mapping that…

Computational Geometry · Computer Science 2015-05-12 Lee Yin Tat , Lam Ka Chun , Lui Lok Ming

It is commonly expected that future fifth generation (5G) networks will be deployed with a high spatial density of access nodes (ANs) in order to meet the envisioned capacity requirements of the upcoming wireless networks. Densification is…

Information Theory · Computer Science 2016-08-15 Mike Koivisto , Mário Costa , Aki Hakkarainen , Kari Leppänen , Mikko Valkama

In this paper we propose a novel observer-based method to improve the safety and security of connected and automated vehicle (CAV) transportation. The proposed method combines model-based signal filtering and anomaly detection methods.…

Signal Processing · Electrical Eng. & Systems 2021-02-26 Yiyang Wang , Neda Masoud , Anahita Khojandi